Atkin-Lehner |
2+ 3- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99450n |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-12762853593750 = -1 · 2 · 37 · 57 · 133 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 3 13+ 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3942,-195534] |
[a1,a2,a3,a4,a6] |
j |
-594823321/1120470 |
j-invariant |
L |
2.2695881136568 |
L(r)(E,1)/r! |
Ω |
0.28369852535247 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33150by1 19890y1 |
Quadratic twists by: -3 5 |